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fiasKO [112]
3 years ago
13

Write the following quadratic in standard form. Then identify a, b, and c. y² - 7y + 6 = -6

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

Therefore,

y^{2}-7y+12=0       ....Standard form.

a=1\\b=-7\\c=12    ......Numerical Coefficients.

Step-by-step explanation:

Given:

y^{2}-7y+6=-6

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

y^{2}-7y+6=-6

Adding 6 on both the side we get

y^{2}-7y+6+6=-6+6

y^{2}-7y+12=0

Which is Quadratic Equation in STANDARD form Where,

a=1\\b=-7\\c=12

Therefore,

y^{2}-7y+12=0       ....Standard form.

a=1\\b=-7\\c=12    ......Numerical Coefficients.

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A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 5%, what is the total price of the CD, including tax?
Vedmedyk [2.9K]

Answer:

$14.28

Step-by-step explanation:

If the CD is $17 and is have a 20% off then you multiply .20 and 17 to get the amount that is off. Subtract that answer from 17 and you should get $13.60. That is the cost of the CD WITHOUT tax. To apply the tax, you multiply the cost and 0.05 (5%) to get 0.68. 0.68 is the tax cost. To get the entire cost of the CD, you add 0.68 (tax) and price (13.60) and get $14.28.

5 0
3 years ago
Read 2 more answers
Tony operates a skate rental company. He charges an equipment fee of $3 plus $6 per hour. Which equation represents this linear
slava [35]

Answer: A) y = 6x +3

Step-by-step explanation:

Let x represent the number of hours. $6 per hour can now be written as 6x.

Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3

6 0
3 years ago
Two problems I can’t get is; 94-4.8 I know the answer is 89.2 but how?
vekshin1

Answer:

have the correct answer

Step-by-step explanation:

a-line the decimals nd subtract

6 0
3 years ago
What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we
kogti [31]

Answer:

x = - \frac{1}{2}, x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± \sqrt{49} = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = \frac{-2}{4} = - \frac{1}{2}

or

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \frac{1}{2}

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0
3 years ago
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

7 0
3 years ago
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